Quasielastic electron scattering on a two-nucleon model system: Scaling and cumulant expansion of the structure function

Journal Article · Sat Dec 01 00:00:00 EST 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.42.2342· OSTI ID:6198091

Hueber, D; Gloeckle, W; Boemelburg, A ^[1]

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1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-4630 Bochum 1, Federal Republic of Germany (DE)

The structure function {ital S}({ital q},{omega}) for quasielastic electron scattering on a nonrelativistic two-nucleon model system is evaluated numerically. These {ital S} values are considered as pseudodata to study sum rules, {ital y} scaling, and the cumulant expansion. For the force models considered it is found that the reduced structure function ({ital q}/2{ital m}){ital S}({ital q},{omega}) in the limit {ital q}{r arrow}{infinity} scales to the longitudinal momentum distribution {ital P}{sub {ital L}}({ital y}) in the target. Except for small {ital y} values, this limit, however, is reached only very slowly, which may be due to the strictly nonrelativistic treatment. The cumulant expansion based on low-order cumulants is not useful. We also derive the analytical result that in our potential model {ital S}({ital q},{omega})={ital O}({omega}{sup {minus}5.5}) for {omega}{r arrow}{infinity} and fixed {ital q}. This shows that higher-order cumulants do not exist.

• OSTI ID: 6198091
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 42:6; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ELECTRON REACTIONS
QUASI-ELASTIC SCATTERING
PARTIAL WAVES
STRUCTURE FUNCTIONS
SUM RULES
TWO-BODY PROBLEM
CHARGED-PARTICLE REACTIONS
DIRECT REACTIONS
EQUATIONS
FUNCTIONS
LEPTON REACTIONS
MANY-BODY PROBLEM
NUCLEAR REACTIONS
QUASI-FREE REACTIONS
SCATTERING
653003* - Nuclear Theory- Nuclear Reactions & Scattering